Higher order analysis and bifurcation theory
Please note that this is a self-funded research project.
Recently it has been shown experimentally that zebrafish patterning depends on a chiral chasing mechanism of cellular populations.
Dr Woolley has provided a framework for understanding this patterning phenomena. However, his work has only focused on the linear analysis of the system.
You will be expected to extend the current theory to the weakly non-linear regime, and beyond, in order to answer the following questions:
- what pattern structures are available?
- what influence does the chirality of chasing have on pattern planform?
- how does angle influence pattern movement and directionality?
- can these insights be used to provide constraints on the network of interactions seen in the zebrafish?
How to apply
Applicants should submit an application for postgraduate study via the Cardiff University Online Application Service.
Applicants should select Doctor of Philosophy in Mathematics with the relevant start date.
In the research proposal section of your application, please specify the project title and supervisors of this project. .